HW #6. Due  Wed, Feb 25, 1998.   Given on Wed, Mar 18, 1998.
Math 365. Number Theory.  Spring 1998.

1.  Find  Farey parents for the fractions    34/55  and   1001/1317.
2.  Prove that the sequence   {sqrt(n)}   is dense mod 1.
3.  Find the number of sols  to  x^2+y^2+z^2=2  mod  p
     where  p>2  is a prime.
4*.  Let   (p/q ,  r/s)    be a Farey pair. Prove that there is no
     integer  x   such that    p/q < x/(qs-q-s) < r/s.
      Hint:  some relation to one of the challenge problems.